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Syllabus Book Master Electrical and Electronic Engineering (Power and Automation) PO08 Version: 04.07.2018

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Syllabus Book

Master Electrical and Electronic Engineering (Power and Automation) PO08 Version: 04.07.2018

Description of the degree course

Name of the degree course Shorthand expression of degree course

Master Electrical and Electronic Engineering (Power and Automation) PO08 M-EEE(PA)_PO08

Type Period of study SWS ECTS-Credits Master 4 66 120

Description The study in the master degree course "Electrical and Electronic Engineering" is divided into two profiles, which focus on different directions of this field: The education in the profile "Power and Automation" qualifies the students for the demanding occupations in management, research and in teaching in the field of power and automation engineering. After a broad basis by way of a prerequisite respective bachelor degree, the knowledge will be deepened in • the higher mathematics and numerical mathematics necessary for the demanding technical subjects as well as magnetic field theory, • the technical subjects which form the basis for the demanding activity profile in electrical engineering and information engineering, • the technical profile subjects, which allow a demanding occupation in the areas of electric power engineering and automation engineering. With that the following special goals will be achieved: • the ability to familiarise with demanding theoretic topics, • the ability to solve demanding tasks which require a multitude of theoretical aids in modelling, synthesis and simulation. The field of activities for engineers with master degree is sophisticated project planning, development of products (components and systems), research and sales in small companies as well as global acting industry. The master degree is also prerequisite for PhD-programs.

Study plan

V Ü P S Cr

Master Electrical and Electronic Engineering (Power and Automation) PO08 Elektrotechnik und Informationstechnik

34 20 6 6 120

1. Fundamentals of High-Voltage Engineering Prof. Dr.-Ing. Hirsch d 2 1 0 0 5

Mathematics E4 Prof. Dr. Scheven d 2 1 0 0 5

Numerical Mathematics Prof. Dr. Scheven e 2 2 0 0 6

Electromagnetic Field Theory 1 Prof. Dr. sc. techn. Erni d 2 2 0 0 6

Theory of Statistical Signals Prof. Dr.-Ing. Czylwik d 2 2 0 0 5

Elective 1 NN d/e 2 1 0 0 4

Total 12 9 0 0 31

2. Advanced Computer Architecture Prof. Dr.-Ing. Hunger e 2 1 0 0 4

High Voltage Devices Prof. Dr.-Ing. Hirsch d 2 1 0 0 4

Electronic Circuits Prof. Dr. rer. nat. Tegude d 2 1 0 0 4

Electronic Circuits Lab Prof. Dr. rer. nat. Tegude d 0 0 1 0 1

Power Electronics Prof. Dr.-Ing. Hirsch d 2 1 0 0 4

Modern Control Systems Prof. Dr.-Ing. Ding d 2 1 0 0 4

Modern Control Systems Lab Prof. Dr.-Ing. Ding d 0 0 1 0 1

Power System Operation and Control Prof. Dr.-Ing. habil. Erlich e 2 1 0 0 4

Elective 2 NN d/e 2 1 0 0 4

Total 14 7 2 0 30

3. Modelling and Simulation of Dynamic Systems Dr.-Ing. Köppen-Seliger e 2 1 0 0 5

Modelling and Simulation of Dynamic Systems Lab Dr.-Ing. Köppen-Seliger e 0 0 1 0 1

Power System Analysis Prof. Dr.-Ing. habil. Erlich d 2 1 0 0 4

Non-technical Catalog M NN d/e 0 0 0 6 8

Nonlinear Control Systems Prof. Dr.-Ing. Ding e 2 1 0 0 4

Nonlinear Control Systems Lab Prof. Dr.-Ing. Ding e 0 0 1 0 1

Power System Operation and Control Lab Prof. Dr.-Ing. habil. Erlich e 0 0 2 0 2

Elective 3 NN d/e 2 1 0 0 4

Total 8 4 4 6 29

4. Master Thesis NN d/e 0 0 0 0 27

Master Thesis Colloquium NN d/e 0 0 0 0 3

Total 0 0 0 0 30

Module- und course catalog

Module Name Field Theory Module Coordinator Prof. Dr. sc. techn. Daniel Erni Used in degree course • Master Elektrotechnik und Informationstechnik (Elektrische Energietechnik) PO06 • Master Electrical and Electronic Engineering (Power and Automation) PO08

Year Duration Type of module 1 1 Pflichtmodul

Nr. Courses/Exams Semester SWS Workload in h ECTS-Credits 1 Electromagnetic Field Theory 1 1 4 180 6 2 Mathematics E4 1 3 150 5 Total 7 330 11

Module Name Field Theory Course/Examination Name Mathematics E4 Course Coordinator Prof. Dr. Christoph Scheven

Semester Cycle Language 1 WS deutsch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 3 45 105 150 5

Teaching form Lecture with Exercises Learning objectives The students are able to compute potential functions of conservative vector fields. They know how to parametrize important surfaces. They are also able to calculate surface- and flow integrals and in so doing apply integral theorems. They know what a boundary value problem is and are capable of solving such problems for simple cases. Description The course deals with the following subjects: Vector analysis - Potential functions and line integrals - Integration in several variables - Parameterized surfaces - Surface integrals - Flow integrals - Green’s theorem - Stoke’s theorem - Gauss’s theorem Partial differential equations - Introduction - Green’s identities - Poisson’s integration equations over a circular disk and a sphere - fundamentals of Distributions Kind of examination Written examination 120 min Literature Burg, Haf, Wille: Mathematik für Ingenieure, I-IV,2002; Marsden, Tromba: Vectoranalysis,1996; Kevorkian: Partial Differential Equations,2000; Renardy/Rogers: A first graduate course in Partial Differential Equations,2004; Evans: Partial Differential Equations, 2010. Requirements Mathematik 1 für Ingenieure und Mathematik 2 für Ingenieure.

Module Name Field Theory Course/Examination Name Electromagnetic Field Theory 1 Course Coordinator Prof. Dr. sc. techn. Daniel Erni

Semester Cycle Language 1 WS deutsch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 4 60 120 180 6

Teaching form Lecture / Exercises Learning objectives Based on this course the students are capable: - to solve an electrostatic boundary problem while using either analytical or numerical methodologies, - to correctly evaluate the behavior of electrostatic field according to their appearance in technical building blocks and systems, - to understand the underlying mechanisms of stationary current fields and to provide quantitative measures for their behavior, - to master vector calculus, vector analysis and to correctly apply these formalisms in the corresponding context of application. Description The course “Theoretische Elektrotechnik” is aimed towards a profound physical understanding of electromagnetic fields. It represents a key qualification in order to bridge the gap to other realms of electrical engineering, such as e.g. high-voltage engineering, electrical engines, and energy transmission. The course as a whole represents an extension towards classical electrodynamics addressing areas like microwave engineering, solid state electronics and advanced issues in the framework of nanosciences, such as e.g. nanophotonics and nanooptics. The lecture "Theoretische Elektrotechnik 1" encompasses the following topics: (1) Electrostatics: ============ - Electric field and electric flux density - The fundamental equations (Gauss law, conservative fields) - The electrostatic potential - The general theory of capacitance - Electrostatic field in material media - Boundary conditions - Energy and forces - The electrostatic boundary value problem - Analytical, graphical, semi-analytical, direct und iterative numerical solution methods (2) Stationary electric fields in conducting media: =============================== - Current and current density

- The fundamental equations (continuity equation, Ohm’s law) - Boundary conditions - Power density - Calculation of the resistance - The stationary boundary value problem - Duality to electrostatics The course also covers the fundamentals of vector calculus, vector analysis, coordinate systems, and some elements of tensor calculus. Kind of examination written examination (120 min). Literature - Pascal Leuchtmann, Einführung in die elektromagnetische Feldtheorie, München: Pearson Studium, 2005. - Ingo Wolff, Maxwellsche Theorie - Grundlagen und Anwendung. Band 1: Elektrostatik, Aachen: Verlagsbuchhandlung Dr. Wolff, 2005. - Ingo Wolff, Maxwellsche Theorie - Grundlagen und Anwendung. Band 2: Strömungsfelder, Magnetfelder, Wellenfelder, Aachen: Verlagsbuchhandlung Dr. Wolff, 2007. - David J. Griffiths, Introduction to Electrodynamics, (3rd. ed), San Francisco: Pearson, 2008. - David J. Griffiths, Elektrodynamik - Eine Einführung, (3. Aufl.), München: Pearson Studium, 2011. - Günther Lehner, Elektromagnetische Feldtheorie – für Ingenieure und Physiker, Berlin: Springer Verlag, 2006. - Heino Henke, Elektromagnetische Felder – Theorie und Anwendungen, (3. Aufl.), Berlin: Springer Verlag, 2007. - Julius Adams Stratton, Electromagnetic Theory, Hoboken: John Wiley & Sons / IEEE Press, 2007. - Melvin Schwartz, Principles of Electrodynamics, New York: Dover Publications Inc., 1988. - Gottlieb Strassacker, Rotation, Divergenz und Gradient - Leicht verständliche Einführung in die Elektromagnetische Feldtheorie, Wiesbaden: Teubner Verlag, 2006. Requirements - Vektoranalysis, - Differenzialgleichungen, - Stoffumfang der Veranstaltung "Grundlagen der Elektrotechnik 1,2,3".

Module Name Advanced Control Technology Module Coordinator Prof. Dr.-Ing. Steven X. Ding Used in degree course • Master Electrical and Electronic Engineering (Power and Automation) PO08

Year Duration Type of module 2 1 Pflichtmodul

Nr. Courses/Exams Semester SWS Workload in h ECTS-Credits 1 Nonlinear Control Systems 3 3 120 4 2 Nonlinear Control Systems Lab 3 1 30 1 Total 4 150 5

Module Name Advanced Control Technology Course/Examination Name Nonlinear Control Systems Course Coordinator Prof. Dr.-Ing. Steven X. Ding

Semester Cycle Language 3 WS englisch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 3 45 75 120 4

Teaching form Lecture /Exercise Learning objectives The students should be able to model nonlinear control systems, to analyze the system dynamic behavior, in particular the stability using different methods, and to design nonlinear control systems for applications. Description During the last two decades, development of advanced nonlinear control system theory has received much attention. This course is devoted to the essentials of the nonlinear system analysis and to the introduction of some advanced methods of analyzing and designing nonlinear control systems developed in recent years. First, different methods and tools for the description of nonlinear systems are introduced. Stability study with emphasis on the Lyapunov methods builds the basis for the further study. It is followed by the study on passive and disspative systems, and presentation of different methods of nonlinear controller design including the feedback linearization, sliding control, adaptive control schemes and nonlinear observer design. Kind of examination written exam 90 min. Literature [1] S. X. Ding, Vorlesungsskript "Nonlinear control systems" (wird jährlich aktualisiert, per Download verfügbar, will be updated and available for download) [2] H. K. Khalil: Nonlinear systems, the 3rd edition, Prentice Hall, 2002. [3] J.-J. E. Slotine and W. Li, Applied nonlinear control, Prentice Hall, 1991

Module Name Advanced Control Technology Course/Examination Name Nonlinear Control Systems Lab Course Coordinator Prof. Dr.-Ing. Steven X. Ding

Semester Cycle Language 3 WS englisch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 1 15 15 30 1

Teaching form Laboratory Learning objectives The students will be able to model, analyze the nonlinear control systems being available in the lab and to design satisfactory nonlinear control systems. Description The students will learn how to develop a control scheme for nonlinear processes and how to realize the developed controller on-line under real application conditions. For this purpose, different laboratory systems with real plants and design software (MATLAB) are available. Kind of examination test, experimental procedure Literature Introduction to the lab. / Versuchsanleitung

Module Name Modern Control Systems Module Coordinator Prof. Dr.-Ing. Steven X. Ding Used in degree course • Bachelor Automation and Control Engineering PO08 • Master Electrical and Electronic Engineering (Power and Automation) PO08

Year Duration Type of module 1 1 Pflichtmodul

Nr. Courses/Exams Semester SWS Workload in h ECTS-Credits 1 Modern Control Systems 2 3 120 4 2 Modern Control Systems Lab 2 1 30 1 Total 4 150 5

Module Name Modern Control Systems Course/Examination Name Modern Control Systems Course Coordinator Prof. Dr.-Ing. Steven X. Ding

Semester Cycle Language 2 SS deutsch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 3 45 75 120 4

Teaching form Lecture / Exercise Learning objectives The students should be able to model dynamic systems in the state space representation and to design state feedback controller and observers. Description In this course, the state space description of MIMO dynamic systems is first introduced. It is followed by the study on system structural properties like invariant zeros, poles, controllability and observability. Moreover, different methods of designing state feedback controllers, observer based state feedback controllers as well as optimal state feedback controllers are presented. The final part of this course is devoted to the design of state observers and unknown input observer. Kind of examination written examination (90 min). Literature [1] S. X. Ding, Vorlesungsskript "Mehrgrößenregelung" (wird jährlich aktualisiert, per Download verfügbar, will be updated and available for download) [2] J. Lunze, Regelungstechnik II (Mehrgrößensysteme), 7. Auflage, Springer-Verlage, 2013 [3] H. Unbehauen, Regelungstechnik II, 10. Auflage, Verlag-Vieweg, 2000. [4] G. F. Franklin, J. D. Powell and A. Emami-Naeni, Feedback control of dynamic systems, the 5th edition, Prentice Hall, 2006. [5] E. C. Dorf and R. H. Bishop, Modern control systems, Pearson Prentice Hall, 10th edition, 2005. [6] C-T. Chen, Linear system theory and design, Oxford university press

Module Name Modern Control Systems Course/Examination Name Modern Control Systems Lab Course Coordinator Prof. Dr.-Ing. Steven X. Ding

Semester Cycle Language 2 SS deutsch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 1 15 15 30 1

Teaching form Lab/Practice Learning objectives The students should be able to model different laboratory systems using state space descriptions and to develop suitable state feedback control and observer schemes.

Description The students will learn how to develop a control scheme for a given process and how to realize the developed controller on-line under real application conditions. For this purpose, different laboratory systems with real plants, including D-motor, inverted pendulum and magnetic pendel, and design software (MATLAB) are available. Kind of examination It will be, according to the Prüfungsordnung, announced at the begin of the lab. Literature Versuchsanleitungen Requirements Keine

Module Name Modelling and Simulation of Dynamic Systems Module Coordinator Dr.-Ing. Birgit Köppen-Seliger Used in degree course • Master Elektrotechnik und Informationstechnik (Automatisierungstechnik) PO06 • Bachelor Automation and Control Engineering PO08 • Master Electrical and Electronic Engineering (Power and Automation) PO08 • Master Elektrotechnik und Informationstechnik (Automatisierungstechnik) PO12 • Master Automation and Control Engineering PO15

Year Duration Type of module 2 1 Pflichtmodul

Nr. Courses/Exams Semester SWS Workload in h ECTS-Credits 1 Modelling and Simulation of Dynamic Systems 3 3 150 5 2 Modelling and Simulation of Dynamic Systems Lab 3 1 30 1 Total 4 180 6

Module Name Modelling and Simulation of Dynamic Systems Course/Examination Name Modelling and Simulation of Dynamic Systems Course Coordinator Dr.-Ing. Birgit Köppen-Seliger

Semester Cycle Language 3 WS englisch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 3 45 105 150 5

Teaching form Lecture and exercises Learning objectives The students should be able to apply numerical methods for the solution of ordinary differential equations and to evaluate their properties and suitability for a given application case. They are expected to apply various methods for experimental system identification. Also, they should be able to formulate rigorous (theoretical) models for some simple systems, which are important in process industry. Description After an introduction into goals and significance of modelling and simulation, numerical methods for solving ordinary differential equations (various implicit and explicit single step and multi-step methods, other methods) and their properties (numeric stability, local and global errors, suitability for stiff differential equations, for step inputs and for step width control) are considered. For the solution of partial differential equations, there is only a hint by an example with space and time discretization. The chapter "experimental modelling" at first discusses principles and choice of test signals, followed by methods for gaining nonparametric models. For general parmeter estimation methods, as they are contained in the MATLAB system identification toolbox, the basic models are presented. For one method, the reduction to a least-squares problem is shown; for further details the lecture refers to another lecture ("state and parameter estimation"). Other methods are only mentioned as outlook. A short overview over physical fundamentals from mechanics, thermodynamics and fluid dynamics is given. These fundamentals are applied for theoretical modelling (gaining rigorous models) for numerous examples, e.g.: DC drive, pump and compressor, valve, heat exchanger, heated vessel (liquid, gas, boiling liquid and vapour), stirring vessel reactor with chemical reaction. Kind of examination Written exemination with a duration of 120 minutes. Language: English. Literature [1] Maier, Uwe: Vorlesungsskript "Modelling and Simulation of Dynamic Systems" (steht größtenteils zum Download zur Verfügung, wird jährlich aktualisiert). [2] Thomas, Philip: Simulation of Industrial Processes for Control Engineers. Butterworth Heinemann, 1999. - Weitere umfangreiche Literaturliste zu den einzelnen Kapiteln in den Vorlesungsunterlagen. Requirements Grundlagen Physik und Grundlagen der Regelungstechnik, z.B. über Vorlesung „Einführung in die Automatisierungstechnik“

Module Name Modelling and Simulation of Dynamic Systems Course/Examination Name Modelling and Simulation of Dynamic Systems Lab Course Coordinator Dr.-Ing. Birgit Köppen-Seliger

Semester Cycle Language 3 WS englisch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 1 15 15 30 1

Teaching form Laboratory experiments. Learning objectives See description of lecture \"Modelling and Simulation of Dynamic Systems\" Description Goal of the experiments is deepening the understanding of the lecture "Modelling and Simulation of Dynamic Systems". With MATLAB/SIMULINK the following subjects are treated: - Numerical methods for the solution of ordinary differential equations, and their properties; - an example for the solution of a partial differential equation (1-dimensional heat conduction); - theoretical modelling, followed by parameter optimisation for matching experimental data; - experimental modelling by means of the MATLAB system identification toolbox. Kind of examination Sufficient preparation according to the experiment descriptions and active participation at all experiments. Literature Siehe Vorlesung "Modellbildung und Simulation dynamischer Systeme". Requirements Inhaltliche Voraussetzungen wie bei Vorlesung "Modellbildung und Simulation dynamischer Systeme". Die Praktikumsteilnahme soll parallel zum Vorlesungsbesuch im gleichen Semester erfolgen.

Module Name Power Grids Module Coordinator Prof. Dr.-Ing. habil. Istvan Erlich Used in degree course • Master Electrical and Electronic Engineering (Power and Automation) PO08

Year Duration Type of module 1+2 2 Pflichtmodul

Nr. Courses/Exams Semester SWS Workload in h ECTS-Credits 1 Power System Operation and Control 2 3 120 4 2 Power System Operation and Control Lab 3 2 60 2 3 Power System Analysis 3 3 120 4 Total 8 300 10

Module Name Power Grids Course/Examination Name Power System Operation and Control Course Coordinator Prof. Dr.-Ing. habil. Istvan Erlich

Semester Cycle Language 2 SS englisch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 3 45 75 120 4

Teaching form Lecture (2 SWS) Exercises (1 SWS) Learning objectives Students know how power systems are operating, how voltage, power and frequency are controlled and which means are available for these controls. They know the most important phenomena caused by different disturbances in power systems as well as the consequences they may cause. Description Power system is a large-scale dynamic system. One of the objectives of the lecture is to discuss main issues of power system dynamics caused by disturbances like short circuits, lightning strokes and switching actions. The algorithms for computer-based time and frequency domain simulation techniques will be described shortly and some of the most popular software packages introduced. Furthermore, methods for power system control to maintain voltage and frequency standards will be discussed. An overview will also be given about the structure of the energy management systems. Kind of examination written examination 120 minutes Literature P. Kundur: Power System Stability and Control, EPRI, McGraw-Hill, 1994, ISBN 0-07-035958-X. D. Oeding, B.R. Oswald: Elektrische Kraftwerke und Netze. Springer Verlag Berlin, 2004 Requirements Elektrische Energieversorgung Berechnung Elektrischer Netze

Module Name Power Grids Course/Examination Name Power System Analysis Course Coordinator Prof. Dr.-Ing. habil. Istvan Erlich

Semester Cycle Language 3 WS deutsch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 3 45 75 120 4

Teaching form Lecture (2 SWS) Exercises (1 SWS) Learning objectives Students know different methods of power system analysis, in particular power flow and short circuit analysis. They are able to apply these methods to large electrical power systems. Description The lecture deals with the basics of power system calculation. The focus is on computer-based methods. At the beginning, the elements of the system, like lines, transformers, generators, etc. are described. Then, the equations for system descriptions are formed and the solutions of the power flow, short circuit, optimisation and power system state estimation problems are discussed. The lecture is coupled with computer exercises. The objective is to enable students to use computer software for solving power system problems and to understand algorithm implemented into these software. Kind of examination written examination 120 min. Literature D. Oeding, B.R. Oswald: Elektrische Kraftwerke und Netze. Springer Verlag Berlin, 2004 B. Oswald: Netzberechnung, Berechnung stationärer und quasistationärer Betriebszustände in Elektroenergieversorgungsnetzen, VDE-Verlag

Module Name Power Grids Course/Examination Name Power System Operation and Control Lab Course Coordinator Prof. Dr.-Ing. habil. Istvan Erlich

Semester Cycle Language 3 WS englisch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 2 30 30 60 2

Teaching form Lab (2 SWS) Learning objectives In this lab students can enhance their knowledge about structure, operation and control of power systems. Description In this lab students have to enhance their knowledge about structure, operation and control of power systems. For this the department provides 6 lab experiments. In the first step the preparation of students for the lab will be controlled. Then, the students carry out measurements under supervision of an assistant. Finally a written report about the measurements results is required. Kind of examination test, experimental procedure Literature Sript to the lab Requirements Vorlesungen: Betrieb u. Regelung elektrischer Netze und Schutz Schutz und Leittechnik

Module Name High Voltage Engineering Module Coordinator Prof. Dr.-Ing. Holger Hirsch Used in degree course • Master Electrical and Electronic Engineering (Power and Automation) PO08

Year Duration Type of module 1 2 Pflichtmodul

Nr. Courses/Exams Semester SWS Workload in h ECTS-Credits 1 Fundamentals of High-Voltage Engineering 1 3 150 5 2 High Voltage Devices 2 3 120 4 3 Power Electronics 2 3 120 4 Total 9 390 13

Module Name High Voltage Engineering Course/Examination Name Fundamentals of High-Voltage Engineering Course Coordinator Prof. Dr.-Ing. Holger Hirsch

Semester Cycle Language 1 WS deutsch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 3 45 105 150 5

Teaching form lecture / exercise Learning objectives The students are able to explain breakdown and flashover mechanism and to apply this knowledge to insulators. They analyse the behaviour of insulation matter and will be able to derive more complex insulation systems. Description The course deals with the basics of High Voltage Engineering. It focus on the behaviour of matter and vacuum in the presence of high electric field strength. The consideration of breakdown and flashover mechanism starts with the failure of isolation and ends with the physics of electrical arcs. The topics of the lecture are accompanied by an exercise. At the end of the semester (not in the distance learning course), the breakdown effects will be demonstrated in a visit of the high voltage lab. Kind of examination written examination 90 min. Literature E.Kuffel, W.S.Zaengl, J.Kuffel: High Voltage Engineering: Fundamentals, Newnes, 2005 M.Beyer, W.Boeck, K.Möller: Hochspannungstechnik: Theoretische und praktische Grundlagen, Springer, 2006 A.J.Schwab: Begriffswelt der Feldtheorie, Springer, 1998 V.Y.Ushakov: Insulation of High-Voltage Equipment, Springer, 2004

Module Name High Voltage Engineering Course/Examination Name High Voltage Devices Course Coordinator Prof. Dr.-Ing. Holger Hirsch

Semester Cycle Language 2 SS deutsch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 3 45 75 120 4

Teaching form lecture / exercise Learning objectives The students are able to analyse and develop high voltage apparatus. They assess the effectiveness of construction elements and the behaviour of insulation materials in complex devices. Description The course focus on application of the fundamentals of high voltage engineering for devices used in high voltage apparatus. Besides construction elements of transformers, dividers, bushings and switches transport lines and their transient behaviour will be discussed. Kind of examination written examination (90 min.) Literature E.Kuffel, W.S.Zaengl, J.Kuffel: High Voltage Engineering: Fundamentals, Newnes, 2005 M.Beyer, W.Boeck, K.Möller: Hochspannungstechnik: Theoretische und praktische Grundlagen, Springer, 2006 A.J.Schwab: Begriffswelt der Feldtheorie, Springer, 1998 Requirements Vorlesung/Übung Grundlagen der Hochspannungstechnik (Fundamentals of High Voltage Engineering)

Module Name High Voltage Engineering Course/Examination Name Power Electronics Course Coordinator Prof. Dr.-Ing. Holger Hirsch

Semester Cycle Language 2 SS deutsch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 3 45 75 120 4

Teaching form Lecture / Exercise Learning objectives The students know the power electronic components, circuits and calculation methods. They are able to become acquainted in the solution of technical problems. Description The Innovation of electric drives is mainly forced by the progress in the field of power electronics. The electronic components and basic circuits will be discussed and their use in typical application demostrated. Starting with a motivation on the use of power electronics the development from conventional converter technology to frequency converters will be shown. Components, like diode, thyristor, GTO, power transistor and IGBT are introduced and their application will be derived. The calculation modells and switching behaviour will be derived on the basis of simple circuits. The control methods, like U-f-characteristics and space vector will be explained and its use for electric machines will be shown. Important basic circuits (e.g. B4, M3, B6) are analysed and their behaviour will be handled based on their operational diagrams. Kind of examination Written test (90 minutes) Literature Heumann, K.: Grundlagen der Leistungselektronik 6. Aufl. 1996 Teubner Verlag Anke, D.: Leistungselektronik 1. Aufl. 1986 R. Oldenbourg Verlag Schröder, D.: Elektrische Antriebe - Band 3 und 4: Leistungselektronik 1. Aufl. 1996 Springer Verlag

Module Name Electronic Circuits Module Coordinator Prof. Dr. rer. nat. Franz-Josef Tegude Used in degree course • Master Electrical and Electronic Engineering (Communications Engineering) PO08 • Master Electrical and Electronic Engineering (Power and Automation) PO08 • Master Communications Engineering PO15

Year Duration Type of module 1 1 Pflichtmodul

Nr. Courses/Exams Semester SWS Workload in h ECTS-Credits 1 Electronic Circuits 2 3 120 4 2 Electronic Circuits Lab 2 1 30 1 Total 4 150 5

Module Name Electronic Circuits Course/Examination Name Electronic Circuits Course Coordinator Prof. Dr. rer. nat. Franz-Josef Tegude

Semester Cycle Language 2 SS deutsch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 3 45 75 120 4

Teaching form The "Electronic Circuits" consists of a lecture (2 hrs) and an exercise (1 hr). Fundamental AC-characteristics of various electronic circuits based on FET- and bipolar transistors are treated. Learning objectives The students are able to understand and analyse the AC-characteristics of komplex analog and digital circuits. Description Based on the small-signal analysis of electronic devices like diodes, field-effect transistors (FET) and bipolar transistors fundamental methods to calculate and design komplex electronic circuits are introduced and applied. Basic circuits and their characteristics are analysed and discussed in detail. Both, analog and digital circuits are treated. Kind of examination Written examination, 120 minutes. The language of the examination is the same as the language of the lecture. Literature • K.-H. Rumpf, K.Pulvers, "Elektronische Halbleiterbauelemente – Vom Transistor zur VLSI-Schaltung", Dr. Alfred Hüthig Verlag Heidelberg, ISBN 3-7785-1345-1, 1987 • K.-H. Rumpf, K.Pulvers, "Elektronische Halbleiterbauelemente – Vom Transistor zur VLSI-Schaltung", Dr. Alfred Hüthig Verlag Heidelberg, ISBN 3-7785-1345-1, 1987 • R.Köstner, A.Möschwitzer, "Elektronische Schaltungen", Carl Hanser Verlag, München Wien, Studienbücher, ISBN 3-446-16588-6, 1993 • K.Bystron, J.Borgmeyer, "Grundlagen der Technischen Elektronik", Carl Hanser Verlag, München Wien, Studienbücher, ISBN 3-446-15869-3, 1990 • D. A. Neamen, "Electronic Circuit Analysis and Design", Irwin Book Team, ISBN 0-256-11919-8, 1996 • A.S.Sedra, K.C.Smith, "Microelectronic Circuits", Oxford University Press, 1991, ISBN 019-510369-6 • R.S. Muller, T.I.Kamins, "Device Electronics for Integrated Circuits", John Wiley & Sons, 1986, ISBN 0-471-88758-7 • R.J.Baker, H.W.Li, D.E.Boyce, "CMOS: Circuit Design, Layout, And Simulation", IEEE Press Series on Microelectronic Systems, IEEE Press, 1998, ISBN 0-7803-3416-7 • H.Tholl, "Bauelemente der Halbleiterelektronik", B.G.Teubner, Stuttgart, 1978, II, Teil 2, ISBN 3-519-06419-7 • F.J.Tegude, "Festkörperelektronik", Skript zur Vorlesung, Universität Duisburg - Essen • U.Tietze, Ch.- Schenk, "Halbleiterschaltungstechnik", Springer-Verlag, Berlin • J. Borgmeyer, "Grundlagen der Digitaltechnik", Hanser Lehrbuch, Carl Hanser Verlag München, ISBN 3-

446-15624-0 • M.Shur, "GaAs Devices and Circuits", Plenum Press, Microdevices: Physics and Fabrication Technologies, New York 1987, ISBN 0-306-42192-5 • W.Groß, "Digitale Schaltungstechnik", Vieweg Verlag, Studium Technik, ISBN-3-528-03373-8, Braunschweig/Wiesbaden, 1994

Module Name Electronic Circuits Course/Examination Name Electronic Circuits Lab Course Coordinator Prof. Dr. rer. nat. Franz-Josef Tegude

Semester Cycle Language 2 SS deutsch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 1 15 15 30 1

Teaching form Self-dependent preparation, measurements of electronic devices and circuits under supervision including final analysis of the measurement results. Learning objectives The students are able to measure electronic devices and circuits, to interpret the measurement results and to optimize amplifier circuits. Description The lab is a supplement of the lecture "electronic circuits" to intensify the understanding of the analysis of electronic circuits. It consits of three practical exercises: - the investigation of simple digital circuits - the switching behaviour of bipolar transistors and - the analysis of amplifier circuits using a circuit simulator Kind of examination Oral admission test at the beginning of the lab. Literature - Skript der Veranstaltung "Elektronische Bauelemente" - Skript der Veranstaltung "Elektronische Schaltungen" - Versuchsbeschreibungen

Module Name Cross Section Module PA Module Coordinator Prof. Dr.-Ing. Holger Hirsch Used in degree course • Master Electrical and Electronic Engineering (Power and Automation) PO08

Year Duration Type of module 1 2 Pflichtmodul

Nr. Courses/Exams Semester SWS Workload in h ECTS-Credits 1 Numerical Mathematics 1 4 180 6 2 Theory of Statistical Signals 1 4 150 5 3 Advanced Computer Architecture 2 3 120 4 Total 11 450 15

Module Name Cross Section Module PA Course/Examination Name Numerical Mathematics Course Coordinator Prof. Dr. Christoph Scheven

Semester Cycle Language 1 WS englisch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 4 60 120 180 6

Teaching form Lecture / Exercise Learning objectives The students should learn, to solve typical problems in engineering-mathematics by numerical methods, among others: Linear and nonlinear systems, eigenvalues, interpolation, differential equations and integration. They should learn to implement general methods into a practical computation and to evaluate them with respect to accuracy and efficiency. Description The course deals with the following subjects: 1 Error Analysis Representation of numbers, Floating-point-numbers, Rounding errors, Error Propagation, Error propagation in arithmetic operations, Condition numbers 2 Nonlinear equations The method of Bisection, The secant method, Newton‘s method, Fixed point iteration, Polynomial equations, Systems of nonlinear equations, Newton‘s method for systems 3 Systems of Linear Equations The LR and Cholesky Decomposition, The LR-Decomposition, The Cholesky Decomposition, Gauss Elimination and Back-Substitution, Pivoting strategies, The QR Decomposition, Data fitting; Least square problems, lterative solutions, Jacobi Iteration (total-step-method), Gauss-Seidel-Iteration (single-step-method), Convergence properties 4 Finding Eigenvalues The Power method, Localizing eigenvalues, The QR-method, Hessenberg matrices 5 Ordinary Differential Equations Basic analytic methods, Separation of variables, Linear differential equations, One-step-methods, Euler‘s Method, Midpoint Euler, Two-stage-models, Runge-Kutta-methods 6 Polynomial Interpolation Lagrange form of Interpolation Polynomial, Interpolation Error, Divided Differences, Spline Interpolation 7 Numerical Integration Gaussian Quadrature Kind of examination written exam 120 min.

Literature ·1 Gautschi, W. Numerical Analysis, Birkhäuser,1997. ·2 Hammerlin und Hoffmann. Numerische Mathematik, Springer,1994. ·3 Householder. A.S. Principles of Numerical Analysis, Dover Publications,1974. ·4 Kincaid,D. and Cheney, W. Numerical Analysis, Brooks/Cole Publishing,1991. ·5 Locher. Numerische Mathematik für Informatiker,1993. ·6 Philipps,C. and Cornelius, B. Computional Numerical Methods, Ellis Hoorwood. ·7 Stoer, J. and Burlisch, R. Introduction to numerical Analysis,2005. Requirements Mathematik 1 für Ingenieure und Mathematik 2 für Ingenieure

Module Name Cross Section Module PA Course/Examination Name Theory of Statistical Signals Course Coordinator Prof. Dr.-Ing. Andreas Czylwik

Semester Cycle Language 1 WS deutsch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 4 60 90 150 5

Teaching form Lecture and exercise Learning objectives A lot of processes (from physics, economics, biology, technology …) cannot be described only with deterministic relationships, but need statistical methods. Students who have completed this course should be able to apply the concepts from stochastic variables and stochastic processes in practical problems. Description After a sound introduction in the notion of probability, stochastic variables will be discussed in detail. To that belong the different description possibilities through probability density function, probability distribution function and characteristic function. Beyond that, the properties of functions from stochastic variables will be handled. Stochastic processes which are extended from stochastic variables in time dimension will be emphasized on. Second-order moments such as the autocorrelation function, the cross correlation function as well as the corresponding power spectral density will be particularly discussed. Special stochastic processes of great practical importance such as the Gauss’s and Poisson’s processes will be handled. In conclusion, applications like optimal filters and modulation will be discussed. The contents will be deepened in exercises. Kind of examination Written examination (90 min) Literature A. Papoulis: Probability, random variables and stochastic processes, McGraw-Hill, 2. Aufl. 1984

Module Name Cross Section Module PA Course/Examination Name Advanced Computer Architecture Course Coordinator Prof. Dr.-Ing. Axel Hunger

Semester Cycle Language 2 SS englisch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 3 45 75 120 4

Teaching form Lectures and Tutorials with usage of MS-Power Point Learning objectives The students are able to describe modern concepts of computer architectures and to explain their advantages against conventional von-Neumann computer architectures. They are further able to evaluate computer architectures with regard to efficiency related to different applications. Description Students of this course learn about the modern computer architecture concepts that allow the construction of high performing computer systems and networks. They understand the concepts which enable modern computers to overcome the limitations of the traditional von-Neumann architecture when designing computers, such as pipelining, superscalar and vector architectures. Based on these concepts, they learn to distinguish distributed which further increases of performance can be reached by distributed computer architectures including arrays of computers as well as different types of loosely and tightly coupled CPUs. In this context permutation networks are introduced as special aspects of highly specialized and performing computer arrays. By way of topics like cache coherency in parallel systems, students learn to estimate which negative aspects of parallel computer architectures lead to limitations of theoretical possible performance. Finally, modern supercomputers and their properties are presented, and a survey of current developments in the area of "Grid Computing" and "Cloud Computing" are given and discussed. Kind of examination Written examination 90 min. Literature 1. J.L.Hennessy, D.A.Patterson (2012) Computer Architecture: A Quantitative Approach Morgan Kaufmann Publishers, Inc., 5th edition 2. W. Stallings (2014). Operating Systems – Internals and Design Principles 8/E, Prentice Hall, Pearson 3. Kai Hwang (2008). Advanced Computer Architecture – Parallelism, Scalability, Programmability, McGraw-Hill (McGraw-Hill India (2010)) 4. P. Herrmann (2010). Rechnerarchitektur - Aufbau, Organisation und Implementierung, Springer Vieweg Requirements Grundlagen der Technischen Informatik, Fundamentals of Computer Engineering Betriebssysteme und Rechnernetze, Operating Systems & Computer Networks

Module Name Electives Module Module Coordinator NN Used in degree course • Master Computer Engineering PO04 • Master Computer Science and Communications Engineering PO04 • Master Control and Information Systems PO04 • Master Electrical and Electronic Engineering (Communications Engineering) PO04 • Master Electrical and Electronic Engineering (Power and Automation) PO04 • Master Mechanical Engineering (Water Resources and Environmental Engineering) PO04 • Master Mechanical Engineering (Production and Logistics) PO04 • Master Mechanical Engineering (Mechatronics) PO04 • Master Mechanical Engineering (General Mechanical Engineering) PO04 • Master Management and Technology of Water and Waste Water PO08 • Master Automation and Control Engineering PO08 • Master Electrical and Electronic Engineering (Communications Engineering) PO08 • Master Electrical and Electronic Engineering (Power and Automation) PO08 • Master Computer Engineering (Reliable Systems) PO08 • Master Computer Engineering (Interactive Systems and Visualization) PO08 • Master Computer Science and Communications Engineering PO08 • Master Mechanical Engineering (Energy and Environmental Engineering) PO08 • Master Metallurgy and Metal Forming PO08 • Master Mechanical Engineering (General Mechanical Engineering) PO08 • Master Mechanical Engineering (Mechatronics) PO08 • Master Mechanical Engineering (Production and Logistics) PO08

Year Duration Type of module 1+2 3 Wahlpflichtmodul

Nr. Courses/Exams Semester SWS Workload in h ECTS-Credits 1 Elective 1 1 3 120 4 2 Elective 2 2 3 120 4 3 Elective 3 3 3 120 4 Total 9 360 12

Module Name Electives Module Course/Examination Name Elective 1 Course Coordinator NN

Semester Cycle Language 1 deutsch/englisch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 3 45 75 120 4

Teaching form Learning objectives With a targeted choice of the elective subjects, the students should follow their affinities and qualify themselves for a job resp. for an academic career. Description The electives module should give the students the opportunity to expand the focus of their study program and of their specialization. By so doing, the deepness of the disciplinary education becomes more important. This can be on one hand very precious for a clearly defined professional use but on the other hand a door-opening to a scientific research (PhD) consecutive to the master degree. Alternatively, other subjects, which are relevant of other study fields of the Faculty of Engineering or which belong to other specializations, could also be chosen. In this way, interdisciplinary abilities, which are considerably important in the professional world in the sense of double qualifications, could be acquired. Kind of examination According to the examination regulation the type and duration of the examination will be defined from the lecturer before the semester starts. Literature

Module Name Electives Module Course/Examination Name Elective 2 Course Coordinator NN

Semester Cycle Language 2 deutsch/englisch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 3 45 75 120 4

Teaching form Learning objectives With a targeted choice of the elective subjects, the students should follow their affinities and qualify themselves for a job resp. for an academic career. Description The electives module should give the students the opportunity to expand the focus of their study program and of their specialization. By so doing, the deepness of the disciplinary education becomes more important. This can be on one hand very precious for a clearly defined professional use but on the other hand a door-opening to a scientific research (PhD) consecutive to the master degree. Alternatively, other subjects, which are relevant of other study fields of the Faculty of Engineering or which belong to other specializations, could also be chosen. In this way, interdisciplinary abilities, which are considerably important in the professional world in the sense of double qualifications, could be acquired. Kind of examination According to the examination regulation the type and duration of the examination will be defined from the lecturer before the semester starts. Literature

Module Name Electives Module Course/Examination Name Elective 3 Course Coordinator NN

Semester Cycle Language 3 deutsch/englisch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 3 45 75 120 4

Teaching form Learning objectives With a targeted choice of the elective subjects, the students should follow their affinities and qualify themselves for a job resp. for an academic career. Description The electives module should give the students the opportunity to expand the focus of their study program and of their specialization. By so doing, the deepness of the disciplinary education becomes more important. This can be on one hand very precious for a clearly defined professional use but on the other hand a door-opening to a scientific research (PhD) consecutive to the master degree. Alternatively, other subjects, which are relevant of other study fields of the Faculty of Engineering or which belong to other specializations, could also be chosen. In this way, interdisciplinary abilities, which are considerably important in the professional world in the sense of double qualifications, could be acquired. Kind of examination According to the examination regulation the type and duration of the examination will be defined from the lecturer before the semester starts. Literature

Module Name Non-technical Subjects M Module Coordinator NN Used in degree course • Master Computational Mechanics PO07 • Master Management and Technology of Water and Waste Water PO08 • Master Automation and Control Engineering PO08 • Master Electrical and Electronic Engineering (Communications Engineering) PO08 • Master Electrical and Electronic Engineering (Power and Automation) PO08 • Master Computer Science and Communications Engineering PO08 • Master Mechanical Engineering (Energy and Environmental Engineering) PO08 • Master Metallurgy and Metal Forming PO08 • Master Mechanical Engineering (General Mechanical Engineering) PO08 • Master Mechanical Engineering (Mechatronics) PO08 • Master Mechanical Engineering (Production and Logistics) PO08 • Master Automation and Control Engineering PO15 • Master Communications Engineering PO15 • Master Power Engineering PO15 • Master Computer Engineering (Interactive Systems and Visualization) PO15 • Master Computer Engineering (Intelligent Networked Systems) PO15 • Master Embedded Systems Engineering PO15 • Master Management and Technology of Water and Waste Water PO15 • Master Metallurgy and Metal Forming PO15 • Master Mechanical Engineering (General Mechanical Engineering) PO15 • Master Mechanical Engineering (Mechatronics) PO15 • Master Mechanical Engineering (Production and Logistics) PO15 • Master Mechanical Engineering (Energy and Environmental Engineering) PO15 • Master Computational Mechanics PO15 • Master Mechanical Engineering (Ship and Offshore Technology) PO15

Year Duration Type of module 2 1 Wahlmodul

Nr. Courses/Exams Semester SWS Workload in h ECTS-Credits 1 Non-technical Catalog M 3 0 240 8 Total 6 240 8

Module Name Non-technical Subjects M Course/Examination Name Non-technical Catalog M Course Coordinator NN

Semester Cycle Language 3 WS+SS deutsch/englisch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 6 90 150 240 8

Teaching form The type of instruction depends on the chosen course. Learning objectives The module aims at deepening the general knowledge of the students and resp. at improving their language skills as well as strengthening their professional qualifications through the learning of teamwork and expose techniques. Description This module offers the students the opportunity to, besides the pure technical courses they take, attend some so called “non-technical subjects” and latter provide an attest for them. These courses can be chosen from the overall offers of the Duisburg-Essen university, whereby the “Institut für Optionale Studien“(IOS) proposes a catalog containing courses which fall under the named supplementary area. Kind of examination The type and duration of the examination will be defined from the lecturer before the semester starts. Literature Spezifisch für das gewählte Thema

Module Name Master-Thesis Module Coordinator NN Used in degree course • Master Computational Mechanics PO07 • Master Management and Technology of Water and Waste Water PO08 • Master Automation and Control Engineering PO08 • Master Electrical and Electronic Engineering (Communications Engineering) PO08 • Master Electrical and Electronic Engineering (Power and Automation) PO08 • Master Computer Engineering (Reliable Systems) PO08 • Master Computer Engineering (Interactive Systems and Visualization) PO08 • Master Computer Science and Communications Engineering PO08 • Master Mechanical Engineering (Energy and Environmental Engineering) PO08 • Master Metallurgy and Metal Forming PO08 • Master Mechanical Engineering (General Mechanical Engineering) PO08 • Master Mechanical Engineering (Mechatronics) PO08 • Master Mechanical Engineering (Production and Logistics) PO08

Year Duration Type of module 2 1 Wahlpflichtmodul

Nr. Courses/Exams Semester SWS Workload in h ECTS-Credits 1 Master Thesis 4 0 0 27 2 Master Thesis Colloquium 4 0 0 3 Total 0 0 30

Module Name Master-Thesis Course/Examination Name Master Thesis Course Coordinator NN

Semester Cycle Language 4 deutsch/englisch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 0 0 0 0 27

Teaching form Master Thesis 6 month including a colloquium Learning objectives The master thesis is used to show that a student is capable of processing a problem from the corresponding field of engineering sciences autonomously and with scientific methods and presenting it comprehensibly, within a given period of time. Description The master thesis is an examination paper which concludes the scientific education in every master degree course within the academic program ISE. Within the colloquium the students will present intermediate and final results of their master thesis and will also participate in discussions of other thesis projects. Kind of examination A master thesis can be topically assigned without restrictions somewhere inside the faculty of engineering sciences. The processing time for a master thesis amounts to six months. The master thesis has to be drafted in German or English language and three hardcopies have to be handed in to the examination committee in time. The hardcopies have to be in DIN A4 format and they have to be bound. The master thesis shall normally consist out of 40 to 60 pages. Literature

Module Name Master-Thesis Course/Examination Name Master Thesis Colloquium Course Coordinator NN

Semester Cycle Language 4 deutsch/englisch

SWS Contact hours Self-study hours Workload in h ECTS-Credits 0 0 0 0 3

Teaching form Presentation and discussion of the master thesis. Learning objectives The aim of the colloquium is to bring the students to be able to present the intermediate and final results of their work within a given length of time in a reasonable way. Description In the course of the accompanying colloquium, the students present the intermediate and final results of their master thesis and likewise take part in the discussions on other presented master thesis. Kind of examination Assessment of the master thesis together with the presentation of the colloquium. Literature

Imprint University of Duisburg Essen Faculty of Engineering Coordinator: Prof. Dr.-Ing. Holger Hirsch Street: Forsthausweg 2 City: 47057 Duisburg Phone: 0203 379 3370 Fax: 0203 379 2833 E-mail: [email protected] Legally binding is only the exam regulation.

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WS Winter Semester SS Summer Semester SWS Contact hours per week Cr. Credits V Lecture Ü Exercise P Laboratory S Seminar d German e English